A-LevelMathematicsFunctions9709/22 · Oct/Nov 2020 · Q36 Marks
Sketch, on a single diagram, the graphs of y = |x - a constant. 1 a and y = 2x – a, – a, where a is a positive
- (a)Sketch, on a single diagram, the graphs of y = |x - a constant. 1 a and y = 2x – a, – a, where a is a positive[2]
- (b)Find the coordinates of the point of intersection of the two graphs.[3]
- (c)Deduce the solution of the inequality |x - a|>x-a.[1]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [1] Draw V-shaped graph with vertex on positive x-axis
- [1] Draw straight line graph correctly positioned with greater gradient
- [1] Solve linear equation with signs of 1/2x and 3/2x different or solve non-modulus equation (1/2x-a) = -(3/2x-1/2a) to obtain x=
- [1] Obtain x = -3/4a
- [1] Obtain y = 5/8a And no other point
- [1] State x < 3/4a Following their (single) x-coordinate from part (b)
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